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Finding the Fourth Proportional to 470,691.20, 705,599.40 and 328,536.20

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Solution

The fourth proportional to 470,691.20, 705,599.40 and 328,536.20 is: 492,499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,691.20 : 705,599.40 = 328,536.20 : x
  2. Step 2: Convert to fraction form
    470,691.20/705,599.40 = 328,536.20/x
  3. Step 3: Cross multiply
    470,691.20x = 705,599.40 × 328,536.20
  4. Step 4: Simplify right side
    470,691.20x = 231,814,945,598.28
  5. Step 5: Solve for x
    x = 231,814,945,598.28/470,691.20
  6. Step 6: Final answer
    x = 492,499.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.